Math Problem Statement

甲乙两人各有四张卡片,每张卡片上标有一个数字,甲的卡片上分别标有数字1,3,5,7,乙的卡片上分别标有数字2,4,6,8,两人进行四轮比赛,在每轮比赛中,两人各自从自己持有的卡片中随机选一张,并比较所选卡片上数字的大小,数字大的人得1分,数字小的人得0分,然后各自弃置此轮所选的卡片(弃置的卡片在此后的轮次中不能使用)。则四轮比赛后,甲的总得分不小于2的概率为

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Combinatorics

Formulas

Probability of independent events
Combinatorial counting

Theorems

Basic probability rules
Binomial theorem

Suitable Grade Level

Grades 10-12